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Finding the Fourth Proportional to 7,710.78, 11,555.82 and 4,005.30

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Solution

The fourth proportional to 7,710.78, 11,555.82 and 4,005.30 is: 6,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.78 : 11,555.82 = 4,005.30 : x
  2. Step 2: Convert to fraction form
    7,710.78/11,555.82 = 4,005.30/x
  3. Step 3: Cross multiply
    7,710.78x = 11,555.82 × 4,005.30
  4. Step 4: Simplify right side
    7,710.78x = 46,284,525.85
  5. Step 5: Solve for x
    x = 46,284,525.85/7,710.78
  6. Step 6: Final answer
    x = 6,002.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.